You are here: MIMS > EPrints
MIMS EPrints

2006.115: Classifying thick subcategories of perfect complexes

2006.115: Grigory Garkusha and Mike Prest (2006) Classifying thick subcategories of perfect complexes.

There is a more recent version of this eprint available. Click here to view it.

Full text available as:

PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
208 Kb


Given a commutative coherent ring R, a bijective correspondence between the thick subcategories of perfect complexes D_{per}(R) and the Serre subcategories of finitely presented modules is established. To construct this correspondence, properties of the Ziegler and Zariski topologies on the set of (iso-classes for) indecomposable injective modules are essentially used.

Item Type:MIMS Preprint
Subjects:MSC 2000 > 03 Mathematical logic and foundations
MSC 2000 > 13 Commutative rings and algebras
MSC 2000 > 55 Algebraic topology
MIMS number:2006.115
Deposited By:Professor Mike Prest
Deposited On:22 May 2006

Available Versions of this Item

Download Statistics: last 4 weeks
Repository Staff Only: edit this item